How to keep the back of your hand dry?

During play the palm of my playing hand is dry but the back of my playing hand sweats a lot. Wearing a wrist band doesn't seem to help because it's not the sweat dripping down from the arm but actually sweat coming out of the back of my hand.

It's a pain to have to remember to wipe it off on my shirt constantly. If I forget, the sweat eventually finds its way around to the palm of my hand, wetting my grip.

Does anybody have the same problem? If yes, what do you do to control it (short of having to remember to wipe it off constantly)?

I currently wipe it off on my shirt right now, but sweat would start beading again after a couple of points. Blowing on it wouldn't help because it's pretty heavy sweating, not just slight moisture (we're talking about playing in AZ heat here). And again, this is not the palm of the hand. This is on the back of the hand.